Okay so, I'm really confused. I don't know what the question is asking me to do... One of them is says "Fifteen times a number is decreased by fifteen. This result is then increased by two times the number. The result is negative 5 times the original number minus the opposite of ten" I'm so lost! Help please
Translating Algebraic Expressions?
Break it down piece by piece and write as you do. Here, like this:
"Fifteen times a number"
Ok, I'll call my number Q, just because I'm tired of X. So, I write 15Q, because that's "fifteen times a number". Next:
"decreased by fifteen." Um, ok.
15Q - 15 (right? You see what I did there?)
"This result is then increased"
15Q - 15 +
"by two times the number."
15Q - 15 + 2Q
Now here it gets a little wonky. I'm interpreting it like so:
"The result is"
15Q - 15 + 2Q = (So, I'm seeing this as building an equation)
"negative 5 times the original number"
15Q - 15 + 2Q = -5Q
"minus the opposite of ten"
Here, recall that "opposite" simply refers to the one on the other side of 0. So the opposite of 10 is -10. The opposite of -4 is 4. So watch closely:
15Q - 15 + 2Q = -5Q - (-10)
From here, you can solve for Q on your own. :)
Hope this helps!